simplify each expression
8) –2(a + 3b) + 4(2a – 3b)
30) Simplify (6y – 2) + (7y + 3) – (2y – 6)
2007-06-18 06:46:02 · 7 answers · asked by Anthony Straight 1 in Science & Mathematics ➔ Mathematics
8)
first multiply through
-2(a+3b) + 4(2a-3b) = -2a -6b + 8a - 12b
collect terms
-2a + 8a - 6b - 12b
6a - 18b
both coefficients are divisible by 6 so we can factor it out
6(a-3b)
And that's as far as you can go.
30)
multiply through (for this question that just means multiplying the last term by -1)
6y - 2 + 7y + 3 - 2y + 6
collect terms
6y + 7y - 2y - 2 + 3 + 6
11y + 7
which is as far as you can go.
2007-06-18 06:56:52 · answer #1 · answered by Astral Walker 7 · 0⤊ 1⤋
8) -2a-6b+8a-6b=6a-2b
30) 6y-2+7y+3-2y+6=11y+7
We use the fact the opening the brackets with - sign before it gives us negative of the inside components, while plus can just eliminate withouth changing signs.
2007-06-18 06:55:41 · answer #2 · answered by anechka 2 · 0⤊ 0⤋
-2a-6b + 8a-12b
=6a-18b
=6(a-3b)
6y-2 + 7y+3 - 2y+6
=11y + 7
2007-06-18 06:55:58 · answer #3 · answered by kev 2 · 1⤊ 0⤋
here you go
8) -2(a+3b)+4(2a-3b) just multiply the brackets with the num in front of it
-2a-3b+8a-12b and then just calculate the a and b
6a-15b
there you go
2007-06-18 06:57:04 · answer #4 · answered by Anonymous · 0⤊ 0⤋
- 2(a + 3b) + 4(2a - 3b) =
-(2a + 6b) + 8a - 12b =
- 2a - 6b + 8a - 12b
Colecting like terms
- 2x + 8a - 6b - 12b
6a - 18b
- - - - - - - -s-
2007-06-18 07:31:26 · answer #5 · answered by SAMUEL D 7 · 1⤊ 0⤋
6a-6b
16y+4
2007-06-18 06:55:11 · answer #6 · answered by princessn1984 3 · 0⤊ 0⤋
Just add and multiply. Add same to same.
2007-06-18 06:54:56 · answer #7 · answered by nikorami 2 · 0⤊ 0⤋